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Write an equation of the sine function with:
amplitude = 7
period = 3π
phase shift = π
vertical shift = 7
 one year ago
 one year ago
Write an equation of the sine function with: amplitude = 7 period = 3π phase shift = π vertical shift = 7
 one year ago
 one year ago

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KelumptusBest ResponseYou've already chosen the best response.0
So lets think about what these things mean... Are you familiar with amplitude?
 one year ago

KelumptusBest ResponseYou've already chosen the best response.0
OK, Amplitude is how much to 'amplify' the function by.
 one year ago

KelumptusBest ResponseYou've already chosen the best response.0
or you could say, multiply.
 one year ago

KelumptusBest ResponseYou've already chosen the best response.0
If you have 5Sin(x) then its amplitude is 5 (the wave will hit a maximum of 5 and a minimum of 5.
 one year ago

KelumptusBest ResponseYou've already chosen the best response.0
So hopefully that explains amplitude. The period is the length of a wave before it starts repeating itself. The usual period of a sine function is 2Pi as the wave will begin to repeat after that point in time. I.e. period of Sin(x) is 2Pi. Is this making sense so far?
 one year ago

KelumptusBest ResponseYou've already chosen the best response.0
yep, thats right, 7 sin x (for the amplitude part)
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
\[y(x)=A\sin(\omega t+\phi)+b\] \(A\) is the Amplitude \(\omega\) is the angular frequency \(\frac{\omega}{2\pi}=\)frequency of oscillation \(\tau\) is the period and \(\tau=\frac{2\pi}{\omega}\) \(\phi\) is the phase shift \(b\) is the vertical shift
 one year ago

KelumptusBest ResponseYou've already chosen the best response.0
You are best of taking a look at http://www.intmath.com/trigonometricgraphs/trigographintro.php. This will explain it properly.
 one year ago
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